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Finding the Fourth Proportional to 299.37, 412.80 and 258.06

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Solution

The fourth proportional to 299.37, 412.80 and 258.06 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.37 : 412.80 = 258.06 : x
  2. Step 2: Convert to fraction form
    299.37/412.80 = 258.06/x
  3. Step 3: Cross multiply
    299.37x = 412.80 × 258.06
  4. Step 4: Simplify right side
    299.37x = 106,527.17
  5. Step 5: Solve for x
    x = 106,527.17/299.37
  6. Step 6: Final answer
    x = 355.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.